168228480 has 128 divisors (see below), whose sum is σ = 612881280. Its totient is φ = 38449152.

The previous prime is 168228479. The next prime is 168228493. The reversal of 168228480 is 84822861.

168228480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×168228480² = 56601642966220800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7182 + ... + 19698.

It is an arithmetic number, because the mean of its divisors is an integer number (4788135).

Almost surely, 2^168228480 is an apocalyptic number.

168228480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306440640).

168228480 is an abundant number, since it is smaller than the sum of its proper divisors (444652800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

168228480 is a wasteful number, since it uses less digits than its factorization.

168228480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12546 (or 12534 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 168228480 is about 12970.2922095071. The cubic root of 168228480 is about 552.0348644226.

The spelling of 168228480 in words is "one hundred sixty-eight million, two hundred twenty-eight thousand, four hundred eighty".